{"id":650,"date":"2020-10-18T09:36:47","date_gmt":"2020-10-18T09:36:47","guid":{"rendered":"https:\/\/www.pythontutorial.net\/?page_id=650"},"modified":"2025-03-27T03:06:43","modified_gmt":"2025-03-27T03:06:43","slug":"python-disjoint-sets","status":"publish","type":"page","link":"https:\/\/www.pythontutorial.net\/python-basics\/python-disjoint-sets\/","title":{"rendered":"Python Disjoint Sets"},"content":{"rendered":"\n<p><strong>Summary<\/strong>: in this tutorial, you&#8217;ll learn about disjoint sets and how to use the Python <code>isdisjoint()<\/code> method to check if two sets are disjoint.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id='introduction-to-python-disjoint-sets'>Introduction to Python disjoint sets <a href=\"#introduction-to-python-disjoint-sets\" class=\"anchor\" id=\"introduction-to-python-disjoint-sets\" title=\"Anchor for Introduction to Python disjoint sets\">#<\/a><\/h2>\n\n\n\n<p>Two <a href=\"https:\/\/www.pythontutorial.net\/python-basics\/python-set\/\">sets<\/a> are disjoint when they have no elements in common. In other words, two disjoint sets are sets whose <a href=\"https:\/\/www.pythontutorial.net\/python-basics\/python-set-intersection\/\">intersection<\/a> is an empty set.<\/p>\n\n\n\n<p>For example, the <code>{1,3,5}<\/code> and <code>{2,4,6}<\/code> sets are disjoint because they have no common elements.<\/p>\n\n\n\n<p>The following Venn diagram illustrates the disjoint sets:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"480\" height=\"230\" src=\"https:\/\/www.pythontutorial.net\/wp-content\/uploads\/2020\/10\/Python-disjoint-sets.png\" alt=\"\" class=\"wp-image-652\" srcset=\"https:\/\/www.pythontutorial.net\/wp-content\/uploads\/2020\/10\/Python-disjoint-sets.png 480w, https:\/\/www.pythontutorial.net\/wp-content\/uploads\/2020\/10\/Python-disjoint-sets-300x144.png 300w\" sizes=\"auto, (max-width: 480px) 100vw, 480px\" \/><\/figure>\n<\/div>\n\n\n<p>In Python, you use the Set <code>isdisjoint()<\/code> method to check if two sets are disjoint or not:<\/p>\n\n\n<pre class=\"wp-block-code\" aria-describedby=\"shcb-language-1\" data-shcb-language-name=\"Python\" data-shcb-language-slug=\"python\"><span><code class=\"hljs language-python\">set_a.isdisjoint(set_b)<\/code><\/span><small class=\"shcb-language\" id=\"shcb-language-1\"><span class=\"shcb-language__label\">Code language:<\/span> <span class=\"shcb-language__name\">Python<\/span> <span class=\"shcb-language__paren\">(<\/span><span class=\"shcb-language__slug\">python<\/span><span class=\"shcb-language__paren\">)<\/span><\/small><\/pre>\n\n\n<p>The <code>isdisjoint()<\/code> method returns <code>True<\/code> if the <code>set_a<\/code> and <code>set_b<\/code> are disjoint. Otherwise, it returns <code>False<\/code>.<\/p>\n\n\n\n<p>The <code>isdisjoint()<\/code> method also accepts any iterable, not just a set.<\/p>\n\n\n\n<p>If you pass a list, a tuple, or a dictionary, the <code>isdisjoint()<\/code> method will convert it to a set before checking.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id='python-isdisjoint-method-examples'>Python isdisjoint() method examples <a href=\"#python-isdisjoint-method-examples\" class=\"anchor\" id=\"python-isdisjoint-method-examples\" title=\"Anchor for Python isdisjoint() method examples\">#<\/a><\/h2>\n\n\n\n<p>The following example uses the <code>isdisjoint()<\/code> method to check if the set <code>odd_numbers<\/code> and set <code>even_numbers<\/code> are disjoint:<\/p>\n\n\n<pre class=\"wp-block-code\" aria-describedby=\"shcb-language-2\" data-shcb-language-name=\"Python\" data-shcb-language-slug=\"python\"><span><code class=\"hljs language-python\">odd_numbers = {<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">3<\/span>, <span class=\"hljs-number\">5<\/span>}\neven_numbers = {<span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">4<\/span>, <span class=\"hljs-number\">6<\/span>}\n\nresult = odd_numbers.isdisjoint(even_numbers)\n\nprint(result)<\/code><\/span><small class=\"shcb-language\" id=\"shcb-language-2\"><span class=\"shcb-language__label\">Code language:<\/span> <span class=\"shcb-language__name\">Python<\/span> <span class=\"shcb-language__paren\">(<\/span><span class=\"shcb-language__slug\">python<\/span><span class=\"shcb-language__paren\">)<\/span><\/small><\/pre>\n\n\n<p><a href=\"https:\/\/www.pythontutorial.net\/playground\/?q=b2RkX251bWJlcnMgPSB7MSwgMywgNX0KZXZlbl9udW1iZXJzID0gezIsIDQsIDZ9CgpyZXN1bHQgPSBvZGRfbnVtYmVycy5pc2Rpc2pvaW50KGV2ZW5fbnVtYmVycykKCnByaW50KHJlc3VsdCk%3D\" target=\"_blank\" rel=\"noreferrer noopener\">Try it<\/a><\/p>\n\n\n\n<p>Output:<\/p>\n\n\n<pre class=\"wp-block-code\" aria-describedby=\"shcb-language-3\" data-shcb-language-name=\"Python\" data-shcb-language-slug=\"python\"><span><code class=\"hljs language-python\"><span class=\"hljs-literal\">True<\/span><\/code><\/span><small class=\"shcb-language\" id=\"shcb-language-3\"><span class=\"shcb-language__label\">Code language:<\/span> <span class=\"shcb-language__name\">Python<\/span> <span class=\"shcb-language__paren\">(<\/span><span class=\"shcb-language__slug\">python<\/span><span class=\"shcb-language__paren\">)<\/span><\/small><\/pre>\n\n\n<p>Since no elements in the <code>odd_numbers<\/code> are present in the set <code>even_numbers<\/code>, the <code>isdisjoint()<\/code> method returns True.<\/p>\n\n\n\n<p>The following example uses the <code>isdisjoint()<\/code> method to check if the set letters and the set <code>alphanumerics<\/code> are disjoint:<\/p>\n\n\n<pre class=\"wp-block-code\" aria-describedby=\"shcb-language-4\" data-shcb-language-name=\"Python\" data-shcb-language-slug=\"python\"><span><code class=\"hljs language-python\">letters = {<span class=\"hljs-string\">'A'<\/span>, <span class=\"hljs-string\">'B'<\/span>, <span class=\"hljs-string\">'C'<\/span>}\nalphanumerics = {<span class=\"hljs-string\">'A'<\/span>, <span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">2<\/span>}\n\nresult = letters.isdisjoint(alphanumerics)\n\nprint(result)<\/code><\/span><small class=\"shcb-language\" id=\"shcb-language-4\"><span class=\"shcb-language__label\">Code language:<\/span> <span class=\"shcb-language__name\">Python<\/span> <span class=\"shcb-language__paren\">(<\/span><span class=\"shcb-language__slug\">python<\/span><span class=\"shcb-language__paren\">)<\/span><\/small><\/pre>\n\n\n<p><a href=\"https:\/\/www.pythontutorial.net\/playground\/?q=bGV0dGVycyA9IHsnQScsICdCJywgJ0MnfQphbHBoYW51bWVyaWNzID0geydBJywgMSwgMn0KCnJlc3VsdCA9IGxldHRlcnMuaXNkaXNqb2ludChhbHBoYW51bWVyaWNzKQoKcHJpbnQocmVzdWx0KQ%3D%3D\" target=\"_blank\" rel=\"noreferrer noopener\">Try it<\/a><\/p>\n\n\n\n<p>Output:<\/p>\n\n\n<pre class=\"wp-block-code\" aria-describedby=\"shcb-language-5\" data-shcb-language-name=\"Python\" data-shcb-language-slug=\"python\"><span><code class=\"hljs language-python\"><span class=\"hljs-literal\">False<\/span><\/code><\/span><small class=\"shcb-language\" id=\"shcb-language-5\"><span class=\"shcb-language__label\">Code language:<\/span> <span class=\"shcb-language__name\">Python<\/span> <span class=\"shcb-language__paren\">(<\/span><span class=\"shcb-language__slug\">python<\/span><span class=\"shcb-language__paren\">)<\/span><\/small><\/pre>\n\n\n<p>It returns <code>False<\/code> because the letter <code>'A'<\/code> in the set <code>alphanumerics<\/code> is present in the set <code>letters<\/code>.<\/p>\n\n\n\n<p>The following example passes a list to the <code>isdisjoint()<\/code> method instead of a set:<\/p>\n\n\n<pre class=\"wp-block-code\" aria-describedby=\"shcb-language-6\" data-shcb-language-name=\"Python\" data-shcb-language-slug=\"python\"><span><code class=\"hljs language-python\">letters = {<span class=\"hljs-string\">'A'<\/span>, <span class=\"hljs-string\">'B'<\/span>, <span class=\"hljs-string\">'C'<\/span>}\nresult = letters.isdisjoint(&#91;<span class=\"hljs-number\">1<\/span>, <span class=\"hljs-number\">2<\/span>, <span class=\"hljs-number\">3<\/span>])\n\nprint(result)<\/code><\/span><small class=\"shcb-language\" id=\"shcb-language-6\"><span class=\"shcb-language__label\">Code language:<\/span> <span class=\"shcb-language__name\">Python<\/span> <span class=\"shcb-language__paren\">(<\/span><span class=\"shcb-language__slug\">python<\/span><span class=\"shcb-language__paren\">)<\/span><\/small><\/pre>\n\n\n<p><a href=\"https:\/\/www.pythontutorial.net\/playground\/?q=bGV0dGVycyA9IHsnQScsICdCJywgJ0MnfQpyZXN1bHQgPSBsZXR0ZXJzLmlzZGlzam9pbnQoWzEsIDIsIDNdKQoKcHJpbnQocmVzdWx0KQ%3D%3D\" target=\"_blank\" rel=\"noreferrer noopener\">Try it<\/a><\/p>\n\n\n\n<p>Output:<\/p>\n\n\n<pre class=\"wp-block-code\" aria-describedby=\"shcb-language-7\" data-shcb-language-name=\"Python\" data-shcb-language-slug=\"python\"><span><code class=\"hljs language-python\"><span class=\"hljs-literal\">True<\/span><\/code><\/span><small class=\"shcb-language\" id=\"shcb-language-7\"><span class=\"shcb-language__label\">Code language:<\/span> <span class=\"shcb-language__name\">Python<\/span> <span class=\"shcb-language__paren\">(<\/span><span class=\"shcb-language__slug\">python<\/span><span class=\"shcb-language__paren\">)<\/span><\/small><\/pre>\n\n\n<h2 class=\"wp-block-heading\" id='summary'>Summary <a href=\"#summary\" class=\"anchor\" id=\"summary\" title=\"Anchor for Summary\">#<\/a><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Two sets are disjoint if they have no element in common.<\/li>\n\n\n\n<li>Use Python set <code>isdisjoint()<\/code> method to check if two sets are disjoint.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id='quiz'>Quiz <a href=\"#quiz\" class=\"anchor\" id=\"quiz\" title=\"Anchor for Quiz\">#<\/a><\/h2>\n\n\n\n<iframe loading=\"lazy\"\n  name=\"quiz\"\n  src=\"\/quiz\/?quiz=set-disjoint\"\n  height=\"700\"\n  width=\"600\"\n  class=\"iframe\"\n><\/iframe>\n<div class=\"helpful-block-content\" data-title=\"\">\n\t<header>\n\t\t<div class=\"wth-question\">Was this tutorial helpful ?<\/div>\n\t\t<div class=\"wth-thumbs\">\n\t\t\t<button\n\t\t\t\tdata-post=\"650\"\n\t\t\t\tdata-post-url=\"https:\/\/www.pythontutorial.net\/python-basics\/python-disjoint-sets\/\"\n\t\t\t\tdata-post-title=\"Python Disjoint Sets\"\n\t\t\t\tdata-response=\"1\"\n\t\t\t\tclass=\"wth-btn-rounded wth-yes-btn\"\n\t\t\t>\n\t\t\t\t<svg\n\t\t\t\t\txmlns=\"http:\/\/www.w3.org\/2000\/svg\"\n\t\t\t\t\tviewBox=\"0 0 24 24\"\n\t\t\t\t\tfill=\"none\"\n\t\t\t\t\tstroke=\"currentColor\"\n\t\t\t\t\tstroke-width=\"2\"\n\t\t\t\t\tstroke-linecap=\"round\"\n\t\t\t\t\tstroke-linejoin=\"round\"\n\t\t\t\t\tclass=\"feather feather-thumbs-up block w-full 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Introduction to Python disjoint sets # Two sets are disjoint when they have no elements in common. In other words, two disjoint sets are sets whose intersection is an empty set. 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